Constructible functions on Artin stacks

Journal of the London Mathematical Society

Volumn 74, Issue 3, 2006, Pages 583-606

  Joyce, Dominic ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846076133     PISSN: 00246107     EISSN: 14697750     Source Type: Journal    
DOI: 10.1112/S0024610706023180     Document Type: Article

References (24)

1. M. ARTIN, A. GROTHENDIECK and J. L. VERDIER (eds), Théorie des topos et cohomologie étale des schémas, Séminaire de Géométrie Algébrique du Bois-Marie 1963-1964 (SGA 4), with the collaboration of N. Bourbaki, P. Deligne and B. Saint-Donat, Lecture Notes in Mathematics 269, 270 and 305 (Springer, Berlin-New York, 1972-1973).
2. P. DELIGNE, Cohomologie étale. Séminaire de Géométrie Algébrique du Bois-Marie 1963-1964 (SGA 4 1/2), with the collaboration of J. F. Boutot, A. Grothendieck, L. Illusie and J. L. Verdier, Lecture Notes in Mathematics 569 (Springer, Berlin-New York, 1977).
3. M. ATIYAH and G. SEGAL, 'On equivariant Euler characteristics', J. Geom. Phys. 6 (1989) 671-677.
4. L. DIXON, J. A. HARVEY, C. VAFA and E. WITTEN, 'Strings on orbifolds', Nucl. Phys. B 261 (1985) 678-686.
5. T. L. GÓMEZ, 'Algebraic stacks', Proc. Indian Acad. Sci. Math. Sci. 111 (2001) 1-31.
6. R. HARTSHORNE, Algebraic geometry, Graduate Texts in Mathematics 52 (Springer, New York, 1977).
7. L. ILLUSIE (ed.). Cohomologie l-adique et fonctions L, Séminaire de Géométrie Algébrique du Bois-Marie 1963-1964 (SGA 5), Lecture Notes in Mathematics 589 (Springer, Berlin-New York, 1977).
8. L. ILLUSIE, 'Théorie de Brauer et caractéristique d'Euler-Poincaré (d'après P. Deligne)', Astérisque 82-83 (1981) exp. VIII, 161-172.
9. D. D. JOYCE. 'Motivic invariants of Artin stacks and "stack functions'", Preprint, 2005, arXiv:math.AG/0509722.
10. D. D. JOYCE, 'Configurations in abelian categories. I. Basic properties and moduli stacks', Adv. Math. 203 (2006) 194-255.
11. D. D. JOYCE. 'Configurations in abelian categories. II. Ringel-Hall algebras'. Adv. Math., to appear, arXiv:math.AG/0503029.
12. D. D. JOYCE, 'Configurations in abelian categories. III. Stability conditions and identities', Preprint. 2004, arXiv:math.AG/0410267.
13. D. D. JOYCE, 'Configurations in abelian categories. IV. Invariants and changing stability conditions', Preprint, 2004, arXiv:math.AG/0410268.
14. N. M. KATZ and G. LAUMON, 'Transformation de Fourier et majoration des sommes exponentielles', Publ. Math. Inst. Hautes Études Sci. 62 (1985) 145-202.
15. G. KENNEDY, 'MacPherson's Chern classes of singular algebraic varieties', Comm. Algebra 18 (1990) 2821-2839.
16. A. KRESCH, 'Cycle groups for Artin stacks', Invent. Math. 138 (1999) 495-536.
17. G. LAUMON and L. MORET-BAILLY, Champs algébriques, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) 39 (Springer, Berlin, 2000).
18. R. D. MACPHERSON, 'Chern classes for singular algebraic varieties', Ann. of Math. (2) 100 (1974) 423-432.
19. D. MARKER, Model theory: An introduction, Graduate Texts in Mathematics 217 (Springer, New York, 2002).
20. J. S. MILNE, Étale cohomology (Princeton University Press, Princeton, NJ, 1980).
21. D. MUMFORD, The red book of varieties and schemes, 2nd edn, Lecture Notes in Mathematics 1358 (Springer, Berlin, 1999).
22. S.-S. ROAN, 'Orbifold Euler characteristic', Mirror symmetry II (ed. B. Greene and S.-T. Yau), AMS/IP Studies in Advanced Mathematics 1 (American Mathematical Society, Providence, RI, 1997) 129-140.
23. M. ROSENLICHT, 'A remark on quotient spaces', An. Acad. Brasil. Ciênc. 35 (1963) 487-489.
24. O. Y. VIRO, 'Some integral calculus based on Euler characteristic', Topology and geometry - Rohlin seminar, Lecture Notes in Mathematics 1346 (ed. O. Y. Viro; Springer, Berlin, 1988) 127-138.